Yes I think that result psychologically sends Burnley down now. A vastly inferior GD and 6 points behind is too much of an ask for them.The one good thing about Everton winning is another nail in the coffin for Burnley before we visit on the last day.
Unfortunately I believe it's probably a result that keeps Everton up too. Based on nothing at all my feeling is they'll get hit with a maximum of 4 points deduction today, probably reduced to 3 on appeal. But with a game in hand and a very nice run in, plus being their usual spawny selves they'll be safe.